Hi Rebecca - assuming you're using QBO, you can assign more than one class to payroll by using the latest "Projects" feature. We shifted all classes to Projects and now payroll is segregated by cost objective. Recommend you look into using Projects instead of Classes. Some links below for your use.

https://www.firmofthefuture.com/content/using-projects-instead-of-classes-in-quickbooks-online/

https://www.firmofthefuture.com/content/new-for-quickbooks-online-labor-costing-for-projects/

https://quickbooks.intuit.com/learn-support/en-us/job-costing/how-to-use-project-profitability-repor...

https://quickbooks.intuit.com/learn-support/en-us/employees-and-payroll/project-expenses-associated-...